Let V and W be vector spaces over F field, dimV=n, and dim W=m. What is the dimension of the vector space L(V,W), and what is an optional basis? Thank you!
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Originally Posted by noricka Let V and W be vector spaces over F field, dimV=n, and dim W=m. What is the dimension of the vector space L(V,W), and what is an optional basis? Hint : If we fix and basis of and respectively, there is a natural isomorphism given by .
you may also wish to consider .
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